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Gialmere
Gialmere
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December 8th, 2020 at 4:55:37 PM permalink
Quote: ChesterDog




Let r = the radius of the circle.
Let A = the central angle subtending a side of length 2.
Let B = the central angle subtending a side of length 7.
Let C = the central angle subtending a side of length 11.

Apply the "law of cosines" for each angle:
cos A = ( r2 + r2 - 22 ) / (2 r2 ) = 1 - 22 / ( 2 r2 )
cos B = ( r2 + r2 - 72 ) / (2 r2 ) = 1 - 72 / ( 2 r2 )
cos C = ( r2 + r2 - 112 ) / (2 r2 ) = 1 - 112 / ( 2 r2 )

Using "trial and error" to find r such that 2A + 2B + 2C = 360 degrees yields r = 7.


Correct!
----------------------------------



Have you tried 22 tonight? I said 22.
Gialmere
Gialmere
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December 9th, 2020 at 8:21:08 AM permalink
NOTE: To play this puzzle, you must be familiar with the rules and components of the standard, Atlantic City version of Monopoly.



What is the most money you can possibly earn from the Go space in a single Monopoly game turn?

Explain how.

BONUS: What is the probability of it happening?
(This bonus probably isn't worth your time doing and, I confess, I don't know the answer since I keep thinking of new ways.)
Have you tried 22 tonight? I said 22.
Joeman
Joeman
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December 9th, 2020 at 8:57:53 AM permalink
$600

1st roll is a 2 -- Community Chest:



2nd roll is another 2 -- Community Chest:



3rd roll is a 5 -- Chance:



Note that this does not account for the common, but horrible house rule of putting money from the bank into Free Parking.


ETA -- I like chevy's answer better than mine!
"Dealer has 'rock'... Pay 'paper!'"
chevy
chevy
Joined: Apr 15, 2011
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Thanks for this post from:
JoemanGialmere
December 9th, 2020 at 9:03:34 AM permalink


roll 1+1 ----> Community Chest -----> Advance to Go, collect $200
roll 1+1 ----> Community Chest -----> Opening night at opera, Collect $50 from each of 7 (max) other players = $350
Roll 5 --------> Chance -----> Advance to Go, Collect $200. (or advance to Reading Railroad, collect $200 for p[assing GO)

Total = $750

Joeman
Joeman
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December 9th, 2020 at 9:11:34 AM permalink
Quote: chevy



roll 1+1 ----> Community Chest -----> Advance to Go, collect $200
roll 1+1 ----> Community Chest -----> Opening night at opera, Collect $50 from each of 7 (max) other players = $350
Roll 5 --------> Chance -----> Advance to Go, Collect $200. (or advance to Reading Railroad, collect $200 for p[assing GO)

Total = $750

I didn't even think of the "Collect $50/opponent card." In my defense, I don't think I've ever played with more than 5 people, so it was never worth more than $200!


While we're at it, how about a:
More trivia than a puzzle, but... How many different property spaces (Street, RR, or Utility) are there to which a Chance card may direct your token? Can you name them?


One of them is tricky.
"Dealer has 'rock'... Pay 'paper!'"
Gialmere
Gialmere
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December 9th, 2020 at 9:16:46 AM permalink
The question asks what is the most money you can earn from passing/landing on Go in a single (not necessarily your first) turn.
Have you tried 22 tonight? I said 22.
chevy
chevy
Joined: Apr 15, 2011
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December 9th, 2020 at 9:23:16 AM permalink
Thanks Joeman. As to your bonus puzzle, I can think of


Directly Specified: Illinois, ST. Charles, Boardwalk, Reading
Indirectly specified : 2 nearest Utilities, 4 nearest railroads (only adds 3 to count)

If you include where you can end up, There is also Jail and GO....but you didn't list those as choices.

Would go back three to end on New York count? (I loved owning the oranges for exactly this reason by the way)

So maybe 9 + 2 + 1 = 12??

Joeman
Joeman
Joined: Feb 21, 2014
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Thanks for this post from:
Gialmere
December 9th, 2020 at 9:32:12 AM permalink
Ah, I thought you meant how much starting from GO.

$800

Roll 1: start from Boardwalk and roll a hard 8 (or Park Place with a hard 10 or Short Line with a 12):
Pass Go and collect $200, then Chance:



+$200

Roll 2: 2 -- Community Chest:



+$200

Roll 3: 5 -- Chance:



+ $200 for a total of $800 all from passing Go.
"Dealer has 'rock'... Pay 'paper!'"
chevy
chevy
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December 9th, 2020 at 9:41:09 AM permalink
I took your original wording as "From the GO space" to mean that is where you were starting FROM.

I guess you meant it to mean earning as a result of the passing/landing on GO, without any other monies earned.

In that case I would get


Start on say Pennsylvania
Roll 4+4 to pass go (collect $200) and land on first community chest
----draw Adance to GO (Collect $200)
Roll 7 to land on Chance and Advance to GO (Collect $200)

Total = $600???

chevy
chevy
Joined: Apr 15, 2011
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December 9th, 2020 at 9:44:49 AM permalink
Joeman, Yep That's better then mine


Though I think your last roll is 7 since you have to get from GO to Chance....not from Community Chest to Chance??

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